Simplify 5-3(5-2(4x-1))

$5 - 3 (5 - 2 (4 x - 1))$

Step 1

Simplify each term.

Simplify each term.

Apply the distributive property.

$5 - 3 (5 - 2 (4 x) - 2 \cdot - 1)$

Multiply $4$ by $- 2$ .

$5 - 3 (5 - 8 x - 2 \cdot - 1)$

Multiply $- 2$ by $- 1$ .

$5 - 3 (5 - 8 x + 2)$

$5 - 3 (5 - 8 x + 2)$

Add $5$ and $2$ .

$5 - 3 (- 8 x + 7)$

Apply the distributive property.

$5 - 3 (- 8 x) - 3 \cdot 7$

Multiply $- 8$ by $- 3$ .

$5 + 24 x - 3 \cdot 7$

Multiply $- 3$ by $7$ .

$5 + 24 x - 21$

$5 + 24 x - 21$

Step 2

Subtract $21$ from $5$ .

$24 x - 16$

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